(************** Content-type: application/mathematica **************
                     CreatedBy='Mathematica 5.2'

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(*CacheID: 232*)


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(*NotebookOptionsPosition[    610181,      14183]*)
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Notebook[{
Cell[BoxData[
    \(<< ACPackages`\)], "Input",
  InitializationCell->True],

Cell[BoxData[{
    \(\(H = 2;\)\), "\[IndentingNewLine]", 
    \(\(v[z_] = z \((H - z)\) 4/H\^2;\)\)}], "Input",
  InitializationCell->True],

Cell[BoxData[
    \(\(eqOZ[\[Omega]_, k_, 
          R_] := \((v[z] - \[Omega]\/k)\) \((\(\(f'\)'\)[z] - \(k\^2\) 
                  f[z])\) - \(\(v'\)'\)[z] 
            f[z] - \(\[ImaginaryI]\/\(k\ R\)\) \((D[f[z], {z, 4}] - 
                2 \( k\^2\) \(\(f'\)'\)[z] + \(k\^4\) f[z])\);\)\)], "Input",
  InitializationCell->True],

Cell[CellGroupData[{

Cell[BoxData[
    \( (*\:041a\:0420\:0421\ \:0441\ \:0446\:0435\:043b\:043e\:0447\:0438\
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\:0438\ \:0440\:0430\:0437\:043d\:043e\:0441\:0442\:044f\:043c\:0438, \ \
\:0433\:0440\:0430\:043d . \:0443\:0441\:043b\:043e\:0432\:0438\:044f\ \:043e\
\:0431\:044b\:0447\:043d\:044b\:0435, \ \:043d\:0435\ \
\:043f\:043e\:0437\:0432\:043e\:043b\:044f\:044e\:0442\ \:0432\:0441\:0451\ \
\:0432\:044b\:0440\:0430\:0437\:0438\:0442\:044c*) \)], "Input"],

Cell[BoxData[
    \(\(FiniteMatrix4Eigen[n_, sample_:  5, subst___] := 
        Block[{h = H\/n, krseq, krs, unk, i, sm, s, order, lhs, 
            rhs}, \[IndentingNewLine]sm = 
            Max[sample, 5]; \[IndentingNewLine]unk = 
            Table[f\_i, {i, 0 - \(sm - 1\)\/2, 
                n + \(sm - 1\)\/2}]; \[IndentingNewLine]dersam[order_, s_] := 
            Table[f\_j, {j, i - \(s - 1\)\/2, i + \(s - 1\)\/2}] . 
                NDCoefficientList[order, s]/
              h\^order; \[IndentingNewLine]rhs = \(\(\[Omega]\/k\) \
\((\(\(f'\)'\)[z] - \(k\^2\) f[z])\) /. {z \[Rule] i\ h, 
                  f[z] \[Rule] f\_i, \(f''\)[z] \[Rule] 
                    dersam[2, sm], \(f''''\)[z] \[Rule] 
                    dersam[4, 
                      sm]}\) /. {subst}; \[IndentingNewLine]lhs = \(Simplify[\
\((eqOZ[\[Omega], k, R] + \(\[Omega]\/k\) \((\(\(f'\)'\)[z] - \(k\^2\) 
                              f[z])\))\)] /. {z \[Rule] i\ h, 
                  f[z] \[Rule] f\_i, \(f''\)[z] \[Rule] 
                    dersam[2, sm], \(f''''\)[z] \[Rule] 
                    dersam[4, 
                      sm]}\) /. {subst}; \[IndentingNewLine]rhs = \
\(Coefficient[#, unk] &\) /@ 
                Join[Table[0, {2}, {n + sm}], Table[rhs, {i, 0, n}], 
                  Table[0, {2}, {n + 
                        sm}]]/\[Omega]; \[IndentingNewLine] (*\(Print[
                rhs // TableForm];\)*) \[IndentingNewLine]lhs = \
\(Coefficient[#, unk] &\) /@ 
              Join[{dersam[0, sm], dersam[1, sm]} /. i \[Rule] 0, 
                Table[lhs, {i, 0, n}], {dersam[1, sm], dersam[0, sm]} /. 
                  i \[Rule] 
                    n]; \[IndentingNewLine] (*Print["\<next:\>"]; \
\[IndentingNewLine]Print[lhs // TableForm];*) \[IndentingNewLine]Return[{rhs, 
              lhs}];\[IndentingNewLine]];\)\)], "Input"]
}, Closed]],

Cell[CellGroupData[{

Cell[BoxData[
    \( (*\:041a\:0420\:0421\ \:0441\ \:0446\:0435\:043b\:043e\:0447\:0438\
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\:0433\:0440\:0430\:043d . \:0443\:0441\:043b\:043e\:0432\:0438\:044f\ \:043c\
\:043e\:0438*) \)], "Input"],

Cell[BoxData[
    \(\(FiniteMatrix4Eigen[n_, sample_:  5, subst___] := 
        Block[{h = 1\/n, krseq, krs, unk, unkmain, unkfict, i, sm, s, order, 
            lhs, rhs, \[Omega]}, \[IndentingNewLine]sm = 
            Max[sample, 5]; \[IndentingNewLine]unk = 
            Table[f\_i, {i, 0 - \(sm - 1\)\/2, 
                n + \(sm - 1\)\/2}]; \[IndentingNewLine]unkmain = 
            Table[f\_i, {i, 1, n - 1}]; \[IndentingNewLine]unkfict = 
            Complement[unk, unkmain]; 
          dersam[order_, s_] := 
            Table[f\_j, {j, i - \(s - 1\)\/2, i + \(s - 1\)\/2}] . 
                NDCoefficientList[order, s]/
              h\^order; \[IndentingNewLine]rhs = \(\(\[Omega]\/k\) \
\((\(\(f'\)'\)[z] - \(k\^2\) f[z])\) /. {z \[Rule] i\ h, 
                  f[z] \[Rule] f\_i, \(f''\)[z] \[Rule] 
                    dersam[2, sm], \(f''''\)[z] \[Rule] 
                    dersam[4, 
                      sm]}\) /. {subst}; \[IndentingNewLine]lhs = \(Simplify[\
\((eqOZ[\[Omega], k, R] + \(\[Omega]\/k\) \((\(\(f'\)'\)[z] - \(k\^2\) 
                              f[z])\))\)] /. {z \[Rule] i\ h, 
                  f[z] \[Rule] f\_i, \(f''\)[z] \[Rule] 
                    dersam[2, sm], \(f''''\)[z] \[Rule] 
                    dersam[4, 
                      sm]}\) /. {subst}; \[IndentingNewLine]virfict = \
{f\_\(-2\) \[Rule] 6  f\_0 - 8  f\_1 + 3  f\_2, 
              f\_\(-1\) \[Rule] 3  f\_0 - 3  f\_1 + f\_2, f\_0 \[Rule] 0, 
              f\_n \[Rule] 0, 
              f\_\(n + 1\) \[Rule] 3  f\_n - 3  f\_\(n - 1\) + f\_\(n - 2\), 
              f\_\(n + 2\) \[Rule] 
                6  f\_n - 8  f\_\(n - 1\) + 
                  3  f\_\(n - 2\)}; \[IndentingNewLine]fict = 
            unkfict /. 
              virfict; \[IndentingNewLine]rhs = \(Coefficient[#, 
                    unkmain] &\) /@ \((Table[rhs, {i, 1, n - 1}] /. 
                    virfict)\)/\[Omega]; \[IndentingNewLine] (*\(Print[
                rhs // TableForm];\)*) \[IndentingNewLine]lhs = \
\(Coefficient[#, unkmain] &\) /@ \((Table[lhs, {i, 1, n - 1}] /. 
                  virfict)\); \[IndentingNewLine] (*Print["\<next:\>"]; \
\[IndentingNewLine]Print[
              lhs // TableForm];*) \[IndentingNewLine] (*\(Return[
                rhs . Inverse[lhs]];\)*) \[IndentingNewLine]Return[{lhs, 
              rhs}];\[IndentingNewLine]];\)\)], "Input"]
}, Closed]],

Cell[CellGroupData[{

Cell[BoxData[
    \( (*\:041a\:0420\:0421\ \:0441\ \:0434\:0440\:043e\:0431\:043d\:043e\
\:0439\ \:0441\:0435\:0442\:043a\:043e\:0439\ \:0438\ \
\:0446\:0435\:043d\:0442\:0440\:0430\:043b\:044c\:043d\:044b\:043c\:0438\ \
\:0440\:0430\:0437\:043d\:043e\:0441\:0442\:044f\:043c\:0438*) \)], "Input"],

Cell[BoxData[
    \(\(FiniteMatrix4Eigen[n_, sample_:  5, subst___] := 
        Block[{h = H\/n, krseq, krs, unk, unkmain, unkfict, i, sm, s, order, 
            lhs, rhs, \[Omega]}, \[IndentingNewLine]sm = 
            Max[sample, 5]; \[IndentingNewLine]unk = 
            Table[f\_\(i + 1/2\), {i, 0 - \(sm - 1\)\/2, 
                n + \(sm - 1\)\/2 - 1}]; \[IndentingNewLine]unkmain = 
            Table[f\_i, {i, 1/2, n - 1/2}]; \[IndentingNewLine]unkfict = 
            Complement[unk, unkmain]; \[IndentingNewLine]dersam[order_, s_] := 
            Table[f\_j, {j, i - \(s - 1\)\/2, i + \(s - 1\)\/2}] . 
                NDCoefficientList[order, s]/
              h\^order; \[IndentingNewLine]rhs = \(\(-D[
                    eqOZ[\[Omega], k, R], \[Omega]]\) /. {z \[Rule] i\ h, 
                  f[z_] \[Rule] f\_i, \(f''\)[z_] \[Rule] 
                    dersam[2, sm], \(f''''\)[z_] \[Rule] 
                    dersam[4, 
                      sm]}\) /. {subst}; \[IndentingNewLine]lhs = \(Simplify[\
\((eqOZ[\[Omega], k, R] - \[Omega]\ D[
                          eqOZ[\[Omega], k, R], \[Omega]])\)] /. {z \[Rule] 
                    i\ h, f[z_] \[Rule] f\_i, \(f''\)[z_] \[Rule] 
                    dersam[2, sm], \(f''''\)[z_] \[Rule] 
                    dersam[4, sm]}\) /. {subst}; \[IndentingNewLine]virfict = 
            First[Solve[
                Thread[{dersam[0, sm - 1] /. i \[Rule] 0, 
                      dersam[1, sm - 1] /. i \[Rule] 0, 
                      dersam[1, sm - 1] /. i \[Rule] n, 
                      dersam[0, sm - 1] /. i \[Rule] n} \[Equal] 0], 
                unkfict]]; \[IndentingNewLine]fict = unkfict /. virfict; 
          rhs = \(Coefficient[#, 
                  unkmain] &\) /@ \((Table[rhs, {i, 1/2, n - 1/2}] /. 
                  virfict)\); \[IndentingNewLine]lhs = \(Coefficient[#, 
                  unkmain] &\) /@ \((Table[lhs, {i, 1/2, n - 1/2}] /. 
                  virfict)\); \[IndentingNewLine] (*rhs = \(Coefficient[#, 
                    unk] &\) /@ 
                Join[Table[0, {i, 2}, {j, n + sm - 1}], 
                  Table[rhs, {i, 1/2, n - 1/2}]/\[Omega], 
                  Table[0, {i, 2}, {j, 
                      n + sm - 
                        1}]]; \[IndentingNewLine]lhs = \(Coefficient[#, 
                    unk] &\) /@ 
                Join[{dersam[0, sm - 1] /. i \[Rule] 0, 
                    dersam[1, sm - 1] /. i \[Rule] 0}, 
                  Table[lhs, {i, 1/2, n - 1/2}], {dersam[1, sm - 1] /. 
                      i \[Rule] n, 
                    dersam[0, sm - 1] /. 
                      i \[Rule] n}];*) \[IndentingNewLine] (*\(Return[
                rhs . Inverse[lhs]];\)*) \[IndentingNewLine]Return[{lhs, 
              rhs}];\[IndentingNewLine]];\)\)], "Input",
  InitializationCell->True]
}, Closed]],

Cell[CellGroupData[{

Cell[BoxData[
    \( (*\(\:041f\:043e\:043b\:0443\:0447\:0435\:043d\:0438\:0435\ \:0441 . \
\:0437 . \ \:0438\ \:0441 . \:0432 . \ \:0441\ \:043f\:043e\:043c\:043e\:0449\
\:044c\:044e\ Eigen ... \)[Inverse[a] . m]*) \)], "Input"],

Cell[BoxData[
    \(\(GetIncrements[n_, k1_, R1_] := 
        Eigenvalues[\(Inverse[Last[#]] . First[#] &\)[
            N[FiniteMatrix4Eigen[n, 5, k \[Rule] k1, 
                R \[Rule] R1]]]];\)\)], "Input",
  InitializationCell->True],

Cell[BoxData[
    \(\(GetEigenWave[n1_, k1_, R1_, mode_:  1] := 
        Block[{eigval, eigvec, nom, syst}, 
          syst = \(Inverse[Last[#]] . First[#] &\)[
              N[FiniteMatrix4Eigen[n1, 5, k \[Rule] k1, 
                  R \[Rule] R1]]]; \[IndentingNewLine]{eigval, eigvec} = 
            Select[Transpose[Eigensystem[syst]], NumericQ[First[#]] &] // 
              Transpose; \[IndentingNewLine]nom = 
            Flatten[Position[
                  eigval, \(Sort[eigval, 
                      Im[#1] < Im[#2] &]\)\[LeftDoubleBracket]
                    mode\[RightDoubleBracket]]] // 
              First; \[IndentingNewLine]Print["\<Main eigen value is \>", 
            eigval[\([nom]\)]]; \[IndentingNewLine]Return[
            eigvec[\([nom]\)]];];\)\)], "Input",
  InitializationCell->True]
}, Closed]],

Cell[CellGroupData[{

Cell[BoxData[
    \( (*\(\:041f\:043e\:043b\:0443\:0447\:0435\:043d\:0438\:0435\ \:0441 . \
\:0437 . \ \:0438\ \:0441 . \:0432 . \ \:0441\ \:043f\:043e\:043c\:043e\:0449\
\:044c\:044e\ Eigen ... \)[{m, a}]*) \)], "Input"],

Cell[BoxData[
    \(\(GetIncrements[n_, k1_, R1_] := 
        Select[Eigenvalues[
            N[FiniteMatrix4Eigen[n, 5, k \[Rule] k1, R \[Rule] R1]]], 
          NumericQ];\)\)], "Input"],

Cell[BoxData[
    \(\(GetEigenWave[n1_, k1_, R1_, mode_:  1] := 
        Block[{eigval, eigvec, nom, syst}, 
          syst = N[
              FiniteMatrix4Eigen[n1, 5, k \[Rule] k1, 
                R \[Rule] R1]]; \[IndentingNewLine]{eigval, eigvec} = 
            Select[Transpose[Eigensystem[syst]], NumericQ[First[#]] &] // 
              Transpose; \[IndentingNewLine]nom = 
            Flatten[Position[
                  eigval, \(Sort[eigval, 
                      Im[#1] < Im[#2] &]\)\[LeftDoubleBracket]
                    mode\[RightDoubleBracket]]] // 
              First; \[IndentingNewLine]Print["\<Main eigen value is \>", 
            eigval[\([nom]\)]]; \[IndentingNewLine]Return[
            eigvec[\([nom]\)]];];\)\)], "Input"]
}, Closed]],

Cell[BoxData[
    \(\(GetMainIncrement[n_, k1_, R1_, 
          num_:  1] :=  (*\(GetMainIncrement[n, k1, R1, 
              num]\)\(=\)*) \((Print[{n, k1, R1}]; 
          Take[Sort[Im /@ GetIncrements[n, k1, R1]], {num}] // 
            First)\);\)\)], "Input",
  InitializationCell->True],

Cell[CellGroupData[{

Cell[BoxData[
    \( (*\:0417\:0430\:043f\:043e\:043c\:0438\:043d\:0430\:043d\:0438\:0435\ \
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\:043d\:0430\:0447\:0435\:043d\:0438\:0439\ \:0438\:043d\:043a\:0440\:0435\
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"Input"],

Cell[CellGroupData[{

Cell[BoxData[
    \(\(<< "\<MainIncrement.m\>";\)\)], "Input",
  InitializationCell->True],

Cell[BoxData[
    RowBox[{\(Get::"noopen"\), \(\(:\)\(\ \)\), "\<\"Cannot open \
\\!\\(\\\"MainIncrement.m\\\"\\). \\!\\(\\*ButtonBox[\\\"More\[Ellipsis]\\\", \
ButtonStyle->\\\"RefGuideLinkText\\\", ButtonFrame->None, \
ButtonData:>\\\"General::noopen\\\"]\\)\"\>"}]], "Message"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
    \(DumpSave["\<MainIncrement.m\>", GetMainIncrement]\)], "Input"],

Cell[BoxData[
    \({GetMainIncrement}\)], "Output"]
}, Open  ]]
}, Closed]],

Cell[BoxData[
    \( (*\:041e\:0442\:043a\:043b\:043e\:043d\:0435\:043d\:0438\:044f\ \:0432\
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\:043d\:043e\:0433\:043e\ \:0437\:043d\:0430\:0447\:0435\:043d\:0438\:044f\
\[IndentingNewLine]With[{n2 = 10, k2 = 1, R2 = 10000, 
            mod = 1}, \(Det[
                First[#] - \(Sort[GetIncrements[n2, k2, R2], 
                        Im[#1] < Im[#2] &]\)[\([mod]\)] Last[#]] &\)[
            FiniteMatrix4Eigen[n2, 5, k \[Rule] k2, 
              R \[Rule] R2]]]*) \)], "Input"],

Cell[CellGroupData[{

Cell[BoxData[
    \(\(\( (*\:041e\:0442\:043a\:043b\:043e\:043d\:0435\:043d\:0438\:044f\ \
\:0432\ \:0432\:0435\:043a\:0442\:043e\:0440\:0435\ \:043f\:043e\:0441\:043b\
\:0435\ \:043f\:043e\:0434\:0441\:0442\:0430\:043d\:043e\:0432\:043a\:0438\ \
\:0441\:043e\:0431\:0441\:0442\:0432\:0435\:043d\:043d\:044b\:0445\ \:0437\
\:043d\:0430\:0447\:0435\:043d\:0438\:0439\ \:0438\ \:0432\:0435\:043a\:0442\
\:043e\:0440\:043e\:0432*) \)\(\[IndentingNewLine]\)\(\(With[{n2 = 1000, 
              k2 = 1.019871624657849, R2 = 5795.662234804676, 
              mod = 1}, \((ew = 
                GetEigenWave[n2, k2, R2, 
                  mod]; \(\((Inverse[Last[#]] . First[#] . ew - 
                      ew\ \(Sort[GetIncrements[n2, k2, R2], 
                            Im[#1] < Im[#2] &]\)[\([mod]\)])\) &\)[
                FiniteMatrix4Eigen[n2, 5, k \[Rule] k2, R \[Rule] R2] // 
                  N])\)] // Abs\) // PrintRange;\)\)\)], "Input"],

Cell[BoxData[
    \($Aborted\)], "Output"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[{
    \(\(incrs = 
        Sort[GetIncrements[1000, 1.019871624657849, 5795.662234804676] // N, 
          Im[#1] > Im[#2] &];\)\), "\[IndentingNewLine]", 
    \(\(Print[Min[Im /@ incrs]];\)\), "\[IndentingNewLine]", 
    \(\(Show[
        Graphics[{PointSize[0.03], \(Point[{Re[#], Im[#]}] &\) /@ incrs}], 
        Axes \[Rule] True, 
        PlotRange \[Rule] {{0, 1.1}, {\(-1\), 3}}];\)\)}], "Input"],

Cell[BoxData[
    \(6.092163703575511`*^-10\)], "Print"],

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.152 .29788 L
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.1539 .30183 L
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.16054 .31528 L
.16149 .31716 L
.16244 .31902 L
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.16529 .32457 L
Mistroke
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Mistroke
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.26024 .46959 L
Mistroke
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.30297 .51485 L
.30392 .51574 L
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.30582 .51749 L
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.30772 .51923 L
Mistroke
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.34 .5458 L
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.3457 .54992 L
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.35045 .55323 L
.3514 .55388 L
.35235 .55452 L
.3533 .55516 L
.35425 .5558 L
.3552 .55643 L
Mistroke
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.37229 .56702 L
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.37514 .56865 L
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.37704 .56971 L
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.38083 .57179 L
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.38273 .5728 L
.38368 .5733 L
.38463 .57379 L
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.38653 .57477 L
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.38843 .57573 L
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.39033 .57667 L
.39128 .57714 L
.39223 .5776 L
.39318 .57805 L
.39413 .5785 L
.39508 .57895 L
.39603 .5794 L
.39698 .57984 L
.39793 .58027 L
.39887 .5807 L
.39982 .58113 L
.40077 .58155 L
.40172 .58197 L
.40267 .58239 L
Mistroke
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.40457 .5832 L
.40552 .5836 L
.40647 .584 L
.40742 .5844 L
.40837 .58479 L
.40932 .58517 L
.41027 .58555 L
.41122 .58593 L
.41217 .5863 L
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.41407 .58704 L
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.41597 .58775 L
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.41881 .5888 L
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.42071 .58947 L
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.42261 .59013 L
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.42451 .59078 L
.42546 .59109 L
.42641 .5914 L
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.42831 .59201 L
.42926 .59231 L
.43021 .59261 L
.43116 .5929 L
.43211 .59318 L
.43306 .59347 L
.43401 .59375 L
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.43591 .59429 L
.43686 .59456 L
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.4397 .59533 L
.44065 .59558 L
.4416 .59583 L
.44255 .59607 L
.4435 .59631 L
.44445 .59654 L
.4454 .59678 L
.44635 .597 L
.4473 .59722 L
.44825 .59744 L
.4492 .59766 L
.45015 .59787 L
Mistroke
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.45205 .59828 L
.453 .59847 L
.45395 .59867 L
.4549 .59886 L
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.4568 .59923 L
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.46724 .60097 L
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.46914 .60123 L
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.47199 .6016 L
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.48433 .60278 L
.48528 .60285 L
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.48718 .60296 L
.48813 .60301 L
.48908 .60306 L
.49003 .6031 L
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.49193 .60318 L
.49288 .60321 L
.49383 .60324 L
.49478 .60326 L
.49573 .60328 L
.49668 .6033 L
.49763 .60331 L
Mistroke
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.50237 .60331 L
.50332 .6033 L
.50427 .60328 L
.50522 .60326 L
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.50712 .60321 L
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.50997 .6031 L
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.51187 .60301 L
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.51472 .60285 L
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.51757 .60264 L
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.52136 .60232 L
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.52326 .60213 L
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.52991 .60136 L
.53086 .60123 L
.53181 .6011 L
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.53371 .60083 L
.53466 .60069 L
.53561 .60054 L
.53656 .60039 L
.53751 .60024 L
.53846 .60008 L
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.54036 .59975 L
.5413 .59958 L
.54225 .5994 L
.5432 .59923 L
.54415 .59904 L
.5451 .59886 L
Mistroke
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.547 .59847 L
.54795 .59828 L
.5489 .59807 L
.54985 .59787 L
.5508 .59766 L
.55175 .59744 L
.5527 .59722 L
.55365 .597 L
.5546 .59678 L
.55555 .59654 L
.5565 .59631 L
.55745 .59607 L
.5584 .59583 L
.55935 .59558 L
.5603 .59533 L
.56124 .59508 L
.56219 .59482 L
.56314 .59456 L
.56409 .59429 L
.56504 .59402 L
.56599 .59375 L
.56694 .59347 L
.56789 .59318 L
.56884 .5929 L
.56979 .59261 L
.57074 .59231 L
.57169 .59201 L
.57264 .59171 L
.57359 .5914 L
.57454 .59109 L
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.57644 .59046 L
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.57834 .5898 L
.57929 .58947 L
.58024 .58914 L
.58119 .5888 L
.58213 .58845 L
.58308 .5881 L
.58403 .58775 L
.58498 .5874 L
.58593 .58704 L
.58688 .58667 L
.58783 .5863 L
.58878 .58593 L
.58973 .58555 L
.59068 .58517 L
.59163 .58479 L
.59258 .5844 L
Mistroke
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.59448 .5836 L
.59543 .5832 L
.59638 .5828 L
.59733 .58239 L
.59828 .58197 L
.59923 .58155 L
.60018 .58113 L
.60113 .5807 L
.60207 .58027 L
.60302 .57984 L
.60397 .5794 L
.60492 .57895 L
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.60682 .57805 L
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.60872 .57714 L
.60967 .57667 L
.61062 .5762 L
.61157 .57573 L
.61252 .57525 L
.61347 .57477 L
.61442 .57428 L
.61537 .57379 L
.61632 .5733 L
.61727 .5728 L
.61822 .57229 L
.61917 .57179 L
.62012 .57127 L
.62107 .57076 L
.62201 .57024 L
.62296 .56971 L
.62391 .56918 L
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.62581 .56811 L
.62676 .56757 L
.62771 .56702 L
.62866 .56647 L
.62961 .56591 L
.63056 .56536 L
.63151 .56479 L
.63246 .56422 L
.63341 .56365 L
.63436 .56307 L
.63531 .56249 L
.63626 .5619 L
.63721 .56131 L
.63816 .56072 L
.63911 .56012 L
.64006 .55952 L
Mistroke
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.64196 .55829 L
.6429 .55768 L
.64385 .55706 L
.6448 .55643 L
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.6467 .55516 L
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.6486 .55388 L
.64955 .55323 L
.6505 .55258 L
.65145 .55192 L
.6524 .55126 L
.65335 .55059 L
.6543 .54992 L
.65525 .54924 L
.6562 .54856 L
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.6581 .54719 L
.65905 .54649 L
.66 .5458 L
.66095 .54509 L
.6619 .54438 L
.66284 .54367 L
.66379 .54295 L
.66474 .54223 L
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.66759 .54004 L
.66854 .5393 L
.66949 .53855 L
.67044 .5378 L
.67139 .53705 L
.67234 .53629 L
.67329 .53552 L
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.67709 .53242 L
.67804 .53163 L
.67899 .53084 L
.67994 .53004 L
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.68184 .52843 L
.68278 .52762 L
.68373 .5268 L
.68468 .52598 L
.68563 .52515 L
.68658 .52432 L
.68753 .52349 L
Mistroke
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.68943 .5218 L
.69038 .52095 L
.69133 .52009 L
.69228 .51923 L
.69323 .51836 L
.69418 .51749 L
.69513 .51662 L
.69608 .51574 L
.69703 .51485 L
.69798 .51396 L
.69893 .51306 L
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.70367 .50851 L
.70462 .50758 L
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.70652 .50571 L
.70747 .50477 L
.70842 .50382 L
.70937 .50287 L
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.71127 .50095 L
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.71507 .49705 L
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.71697 .49507 L
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.71887 .49306 L
.71982 .49205 L
.72077 .49104 L
.72172 .49002 L
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.72361 .48796 L
.72456 .48693 L
.72551 .48588 L
.72646 .48484 L
.72741 .48378 L
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.72931 .48166 L
.73026 .48059 L
.73121 .47952 L
.73216 .47844 L
.73311 .47735 L
.73406 .47626 L
.73501 .47516 L
Mistroke
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.73786 .47184 L
.73881 .47072 L
.73976 .46959 L
.74071 .46846 L
.74166 .46733 L
.74261 .46618 L
.74356 .46504 L
.7445 .46388 L
.74545 .46272 L
.7464 .46156 L
.74735 .46039 L
.7483 .45921 L
.74925 .45803 L
.7502 .45684 L
.75115 .45565 L
.7521 .45445 L
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.754 .45203 L
.75495 .45081 L
.7559 .44959 L
.75685 .44836 L
.7578 .44712 L
.75875 .44588 L
.7597 .44463 L
.76065 .44338 L
.7616 .44212 L
.76255 .44085 L
.7635 .43958 L
.76444 .4383 L
.76539 .43701 L
.76634 .43572 L
.76729 .43443 L
.76824 .43312 L
.76919 .43181 L
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.77109 .42917 L
.77204 .42784 L
.77299 .42651 L
.77394 .42517 L
.77489 .42382 L
.77584 .42247 L
.77679 .4211 L
.77774 .41974 L
.77869 .41836 L
.77964 .41698 L
.78059 .4156 L
.78154 .4142 L
.78249 .4128 L
Mistroke
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.78438 .40998 L
.78533 .40856 L
.78628 .40713 L
.78723 .4057 L
.78818 .40426 L
.78913 .40281 L
.79008 .40136 L
.79103 .3999 L
.79198 .39843 L
.79293 .39695 L
.79388 .39547 L
.79483 .39398 L
.79578 .39249 L
.79673 .39098 L
.79768 .38947 L
.79863 .38796 L
.79958 .38643 L
.80053 .3849 L
.80148 .38336 L
.80243 .38182 L
.80338 .38026 L
.80433 .3787 L
.80527 .37714 L
.80622 .37556 L
.80717 .37398 L
.80812 .37239 L
.80907 .37079 L
.81002 .36918 L
.81097 .36757 L
.81192 .36595 L
.81287 .36432 L
.81382 .36269 L
.81477 .36104 L
.81572 .35939 L
.81667 .35773 L
.81762 .35606 L
.81857 .35439 L
.81952 .3527 L
.82047 .35101 L
.82142 .34931 L
.82237 .3476 L
.82332 .34588 L
.82427 .34415 L
.82521 .34242 L
.82616 .34068 L
.82711 .33892 L
.82806 .33716 L
.82901 .33539 L
.82996 .33361 L
Mistroke
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.83186 .33002 L
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.83471 .32457 L
.83566 .32273 L
.83661 .32088 L
.83756 .31902 L
.83851 .31716 L
.83946 .31528 L
.84041 .31339 L
.84136 .31149 L
.84231 .30958 L
.84326 .30766 L
.84421 .30573 L
.84516 .30378 L
.8461 .30183 L
.84705 .29986 L
.848 .29788 L
.84895 .29589 L
.8499 .29389 L
.85085 .29188 L
.8518 .28985 L
.85275 .28782 L
.8537 .28577 L
.85465 .2837 L
.8556 .28163 L
.85655 .27954 L
.8575 .27744 L
.85845 .27533 L
.8594 .2732 L
.86035 .27107 L
.8613 .26891 L
.86225 .26675 L
.8632 .26457 L
.86415 .26238 L
.8651 .26018 L
.86604 .25796 L
.86699 .25573 L
.86794 .25349 L
.86889 .25124 L
.86984 .24897 L
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.87174 .24439 L
.87269 .24209 L
.87364 .23977 L
.87459 .23744 L
.87554 .23509 L
.87649 .23274 L
.87744 .23037 L
Mistroke
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.87934 .2256 L
.88029 .22319 L
.88124 .22078 L
.88219 .21836 L
.88314 .21592 L
.88409 .21348 L
.88504 .21102 L
.88598 .20855 L
.88693 .20608 L
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.88978 .1986 L
.89073 .19609 L
.89168 .19357 L
.89263 .19105 L
.89358 .18852 L
.89453 .18598 L
.89548 .18344 L
.89643 .18089 L
.89738 .17833 L
.89833 .17578 L
.89928 .17321 L
.90023 .17064 L
.90118 .16807 L
.90213 .1655 L
.90308 .16292 L
.90403 .16034 L
.90498 .15776 L
.90593 .15518 L
.90687 .1526 L
.90782 .15002 L
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.90972 .14485 L
.91067 .14227 L
.91162 .1397 L
.91257 .13712 L
.91352 .13455 L
.91447 .13198 L
.91542 .12941 L
.91637 .12685 L
.91732 .12429 L
.91827 .12174 L
.91922 .11919 L
.92017 .11665 L
.92112 .11411 L
.92207 .11158 L
.92302 .10906 L
.92397 .10655 L
.92492 .10405 L
Mistroke
.92587 .10155 L
.92681 .09907 L
.92776 .0966 L
.92871 .09413 L
.92966 .09168 L
.93061 .08924 L
.93156 .08682 L
.93251 .08441 L
.93346 .08201 L
.93441 .07963 L
.93536 .07727 L
.93631 .07492 L
.93726 .07259 L
.93821 .07029 L
.93916 .068 L
.94011 .06573 L
.94106 .06349 L
.94201 .06127 L
.94296 .05908 L
.94391 .05691 L
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.94581 .05267 L
.94675 .05059 L
.9477 .04855 L
.94865 .04654 L
.9496 .04458 L
.95055 .04265 L
.9515 .04076 L
.95245 .03892 L
.9534 .03712 L
.95435 .03537 L
.9553 .03367 L
.95625 .03203 L
.9572 .03044 L
.95815 .02891 L
.9591 .02745 L
.96005 .02604 L
.961 .02471 L
.96195 .02345 L
.9629 .02226 L
.96385 .02114 L
.9648 .02011 L
.96575 .01916 L
.9667 .01829 L
.96764 .01751 L
.96859 .01682 L
.96954 .01623 L
.97049 .01573 L
.97144 .01532 L
.97239 .01502 L
Mistroke
.97334 .01482 L
.97429 .01472 L
.97524 .01472 L
.97619 .01482 L
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(*******************************************************************
End of Mathematica Notebook file.
*******************************************************************)

